150546816 has 256 divisors, whose sum is σ = 522240000. Its totient is φ = 42674688.

The previous prime is 150546791. The next prime is 150546857. The reversal of 150546816 is 618645051.

150546816 = 120³ + 121³ + ... + 168³.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1185345 + ... + 1185471.

It is an arithmetic number, because the mean of its divisors is an integer number (2040000).

Almost surely, 2^150546816 is an apocalyptic number.

150546816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150546816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261120000).

150546816 is an abundant number, since it is smaller than the sum of its proper divisors (371693184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

150546816 is an equidigital number, since it uses as much as digits as its factorization.

150546816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 150546816 is about 12269.7520757349. The cubic root of 150546816 is about 531.9741446345.

The spelling of 150546816 in words is "one hundred fifty million, five hundred forty-six thousand, eight hundred sixteen".